Asymmetric gravity–capillary solitary waves on deep water
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AbstractWe present new families of gravity–capillary solitary waves propagating on the surface of a two-dimensional deep fluid. These spatially localised travelling-wave solutions are non-symmetric in the wave propagation direction. Our computation reveals that these waves appear from a spontaneous symmetry-breaking bifurcation, and connect two branches of multi-packet symmetric solitary waves. The speed–energy bifurcation curve of asymmetric solitary waves features a zigzag behaviour with one or more turning points.
2005 ◽
Vol 23
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pp. 171-174
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1993 ◽
Vol 26
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pp. 6027-6031
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1987 ◽
Vol 121
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pp. 411-413
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1996 ◽
Vol 306
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pp. 183-221
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2014 ◽
Vol 80
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pp. 1254-1272
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